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Points:
10 (partial)

Time limit:
0.75s

Java
2.0s

Python
2.0s

Memory limit:
256M

Authors:

Problem types

Today, Tony the Alpaca needs some help with an array he found in the grass!

Tony gives you an array of length . He has questions to ask you about the array. Each question is of the form , , , such that .

Given these parameters, Tony wants to know if there are **distinct** indices and between and inclusive such that .

Also, since Tony hates numbers that are the same, ** must not be equal to **. To keep Tony happy, you must answer all his questions!

#### Constraints

##### Subtask 1 [10%]

##### Subtask 2 [90%]

No additional constraints.

#### Input Specification

The first line of input contains two integers and .

The second line of input contains integers .

The final lines will each contain , the parameters for the query.

#### Output Specification

For each query, output `YES`

if there are two **distinct** indices that multiply to , and `NO`

otherwise.

#### Sample Input 1

```
5 3
1 5 5 2 3
1 3 25
1 4 6
1 5 10
```

#### Sample Output 1

```
NO
NO
YES
```

#### Sample Input 2

```
6 4
2 4 2 4 2 4
1 3 8
1 6 5
1 2 1
1 5 16
```

#### Sample Output 2

```
YES
NO
NO
NO
```

## Comments